So you admit there ARE differences depending on the design.
Emphasis on the REALLLLLY different design. If you have a very impedance-varying amp and your wire is so exotic that it virtually becomes an inline filter, you can get some noticeable variations in FR. This used to be a bit more common with very sensitive tube amps decades ago. These days it's unbelievably rare.
Everyone asking you "did you do level matching, DBT, etc"... I don't think anyone really expects you to do that, hardly anyone here ever does that. The point is, when people actually DO tests like that honestly, never once have they come away with a real change in sound from wires under normal conditions.
There's also the fact that any time wires are measured, there's nothing (and I mean absolutely nothing) in the measurements to suggest you would hear a difference.
Lastly, I would just point out that if speaker wires had a real capability of influencing sound, so would basically any wire in a studio or stage setting. However, in practice, studios might use nice-ish wire, but they don't offer a selection of boutique wires to dial in the sound. The main thing in pro audio is to make sure your cable is properly spec'd for long runs, if you have them.
I studied music technology in college... we got into the fundamentals of sound enough to set someone on a path of being a recording or mixing professional. Not once was cable referenced as a possible means of altering the sound.
I used to read Sound on Sound and Electronic Musician pretty regularly (I even got an article published in the latter once)... never once did they review a cable for its effect on the sound.
And, let me be clear, if cables had a nice (or really any interesting) effect on the sound, you can believe that producers would be all over it. They'd be posting samples of "Audioquest 100x loopback sound" and all that. It would be a really simple studio trick to do. I've never seen anything of the sort.
Bottom line, you heard what you heard ... there is zero reason to believe cables materially affect sound quality, outside of the anecdotal reports of audiophiles.